fsm.h

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/* -*- c++ -*- */
/*
 * Copyright 2002,2011-2012 Free Software Foundation, Inc.
 *
 * This file is part of GNU Radio
 *
 * GNU Radio is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 3, or (at your option)
 * any later version.
 *
 * GNU Radio is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with GNU Radio; see the file COPYING.  If not, write to
 * the Free Software Foundation, Inc., 51 Franklin Street,
 * Boston, MA 02110-1301, USA.
 */

#ifndef INCLUDED_TRELLIS_FSM_H
#define INCLUDED_TRELLIS_FSM_H

#include <gnuradio/trellis/api.h>
#include <iosfwd>
#include <vector>

namespace gr {
namespace trellis {

/*!
 * \brief  Finite State Machine Specification class.
 * \ingroup trellis_coding_blk
 *
 * \details
 * An instance of this class represents a finite state machine
 * specification (FSMS) rather than the FSM itself.  It particular
 * the state of the FSM is not stored within an instance of this
 * class.
 */
class TRELLIS_API fsm
{
private:
    // Input alphabet cardinality.
    int d_I;

    // Number of states.
    int d_S;

    // Output alphabet cardinality.
    int d_O;

    // NS means Next State.
    // next_state = d_NS[current_state * d_I + input_symbol]
    std::vector<int> d_NS;

    // OS means Output Symbol.
    // output_symbol = d_OS[current_state * d_I + input_symbol]
    std::vector<int> d_OS;

    // PS means Previous State.
    std::vector<std::vector<int>> d_PS;

    // PI means Previous Input Symbol.
    // d_PS[current_state][k] and d_PI[current_state][k], is a pair of the form
    // (previous_state, previous_input_symbol) that could have produced the
    // current state.
    std::vector<std::vector<int>> d_PI;

    // TM means Termination matrix.
    // d_TMl[s*d_S+es] is the shortest number of steps to get from state s to
    // state es.
    std::vector<int> d_TMl;

    // d_TMi[s*d_S+es] is the input symbol required to set off on the shortest
    // path from state s to es.
    std::vector<int> d_TMi;
    void generate_PS_PI();
    void generate_TM();
    bool find_es(int es);

public:
    /*!
     * \brief Constructor to create an uninitialized FSMS.
     */
    fsm();

    /*!
     * \brief Constructor to copy an FSMS.
     */
    fsm(const fsm& FSM);

    /*!
     * \brief Constructor to to create an FSMS.
     *
     * \param I         The number of possible input symbols.
     * \param S           The number of possible FSM states.
     * \param O           The number of possible output symbols.
     * \param NS          A mapping from (current state, input symbol) to next state.
     *                    next_state = NS[current_state * I + input_symbol]
     * \param OS          A mapping from (current state, input symbol) to output symbol.
     *                    output_symbol = OS[current_state * I + input_symbol]
     *
     */
    fsm(int I, int S, int O, const std::vector<int>& NS, const std::vector<int>& OS);

    /*!
     * \brief Constructor to create an FSMS from file contents.
     *
     * \param name        filename
     *
     */
    fsm(const char* name);

    /*!
     * \brief Creates an FSMS from the generator matrix of a (n, k) binary convolutional
     * code.
     *
     * \param k      ???
     * \param n      ???
     * \param G      ???
     *
     */
    fsm(int k, int n, const std::vector<int>& G);

    /*!
     * \brief Creates an FSMS describing ISI.
     *
     * \param mod_size    modulation size
     * \param ch_length   channel length
     *
     */
    fsm(int mod_size, int ch_length);

    /*!
     * \brief Creates an FSMS describing the trellis for a CPM.
     *
     * \param P    ???? h=K/P (relatively prime)
     * \param M    alphabet size
     * \param L    pulse duration
     *
     * This FSM is based on the paper by B. Rimoldi
     * "A decomposition approach to CPM", IEEE Trans. Info Theory, March 1988
     * See also my own notes at http://www.eecs.umich.edu/~anastas/docs/cpm.pdf
     */
    fsm(int P, int M, int L);

    /*!
     * \brief Creates an FSMS describing the joint trellis of two FSMs.
     *
     * \param FSM1  first FSMS
     * \param FSM2  second FSMS
     */
    fsm(const fsm& FSM1, const fsm& FSM2);


    /*!
     * \brief Creates an FSMS describing the trellis of two serially concatenated FSMs.
     *
     * \param FSMo  outer FSMS
     * \param FSMi  inner FSMS
     * \param serial set it to true to distinguish from the previous constructor
     */
    fsm(const fsm& FSMo, const fsm& FSMi, bool serial);

    /*!
     * \brief Creates an FSMS representing n stages through the original FSM (AKA radix-n
     * FSM).
     *
     * \param FSM      Original FSMs
     * \param n        Number of stages.
     */
    fsm(const fsm& FSM, int n);
    int I() const { return d_I; }
    int S() const { return d_S; }
    int O() const { return d_O; }
    const std::vector<int>& NS() const { return d_NS; }
    const std::vector<int>& OS() const { return d_OS; }
    const std::vector<std::vector<int>>& PS() const { return d_PS; }
    const std::vector<std::vector<int>>& PI() const { return d_PI; }
    const std::vector<int>& TMi() const { return d_TMi; }
    const std::vector<int>& TMl() const { return d_TMl; }

    /*!
     * \brief Creates an svg image of the trellis representation.
     *
     * \param filename         filename
     * \param number_stages    ????
     */
    void write_trellis_svg(std::string filename, int number_stages);

    /*!
     * \brief Write the FSMS to a file.
     *
     * \param filename   filename
     */
    void write_fsm_txt(std::string filename);
};

} /* namespace trellis */
} /* namespace gr */

#endif /* INCLUDED_TRELLIS_FSM_H */